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Mirrors > Home > NFE Home > Th. List > pm11.07 | Unicode version |
Description: Theorem *11.07 in [WhiteheadRussell] p. 159. (Contributed by Andrew Salmon, 17-Jun-2011.) |
Ref | Expression |
---|---|
pm11.07 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | a9ev 1656 |
. . . . . . 7
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2 | a9ev 1656 |
. . . . . . 7
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3 | 1, 2 | pm3.2i 441 |
. . . . . 6
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4 | a9ev 1656 |
. . . . . . 7
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5 | a9ev 1656 |
. . . . . . 7
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6 | 4, 5 | pm3.2i 441 |
. . . . . 6
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7 | 3, 6 | 2th 230 |
. . . . 5
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8 | eeanv 1913 |
. . . . 5
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9 | eeanv 1913 |
. . . . 5
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10 | 7, 8, 9 | 3bitr4i 268 |
. . . 4
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11 | 10 | anbi1i 676 |
. . 3
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12 | 19.41vv 1902 |
. . 3
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13 | 19.41vv 1902 |
. . 3
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14 | 11, 12, 13 | 3bitr4i 268 |
. 2
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15 | 2sb5 2112 |
. 2
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16 | 2sb5 2112 |
. 2
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17 | 14, 15, 16 | 3bitr4i 268 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925 |
This theorem depends on definitions: df-bi 177 df-an 360 df-tru 1319 df-ex 1542 df-nf 1545 df-sb 1649 |
This theorem is referenced by: (None) |
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